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Finding the Fourth Proportional to 12,977.85, 17,911.17 and 7,313.70

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Solution

The fourth proportional to 12,977.85, 17,911.17 and 7,313.70 is: 10,093.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,977.85 : 17,911.17 = 7,313.70 : x
  2. Step 2: Convert to fraction form
    12,977.85/17,911.17 = 7,313.70/x
  3. Step 3: Cross multiply
    12,977.85x = 17,911.17 × 7,313.70
  4. Step 4: Simplify right side
    12,977.85x = 130,996,924.03
  5. Step 5: Solve for x
    x = 130,996,924.03/12,977.85
  6. Step 6: Final answer
    x = 10,093.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.